Please help me with this homework. I am working on (x-5)^2 , (y-3)^2 and (z-1)^2 but said my answer is wrong. Please help thanks.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.3: Lines
Problem 22E
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Please help me with this homework. I am working on (x-5)^2 , (y-3)^2 and (z-1)^2 but said my answer is wrong. Please help thanks.
Show that the vector-valued function shown below describes the motion of a particle moving in a circle of radius 1 centered at the point (5,3,1) and lying in the plane
x+y-2z=6.
1
1
1
1
r(t) = (51+3j+k) + cost
(-)-( - )
+ sint
i+
√√3
√√3
(CT)
√√2
(Type an exact answer, using radicals as needed.)
What is the parametric equation for y?
1
y= 3-
cost+
√√√2
sint
√√3
(Type an exact answer, using radicals as needed.)
What is the parametric equation for z?
Inc
1
z = 1+
sint
√√3
(Type an exact answer, using radicals as needed.)
>
Subtract the constant from both sides and square both sides of each equation. Expand the right side of the resulting equation for the parameter x.
(x-5)² =
(Type an exact answer, using radicals as needed.)
4
Transcribed Image Text:Show that the vector-valued function shown below describes the motion of a particle moving in a circle of radius 1 centered at the point (5,3,1) and lying in the plane x+y-2z=6. 1 1 1 1 r(t) = (51+3j+k) + cost (-)-( - ) + sint i+ √√3 √√3 (CT) √√2 (Type an exact answer, using radicals as needed.) What is the parametric equation for y? 1 y= 3- cost+ √√√2 sint √√3 (Type an exact answer, using radicals as needed.) What is the parametric equation for z? Inc 1 z = 1+ sint √√3 (Type an exact answer, using radicals as needed.) > Subtract the constant from both sides and square both sides of each equation. Expand the right side of the resulting equation for the parameter x. (x-5)² = (Type an exact answer, using radicals as needed.) 4
そこ
( cos/2) + sin ( + ) )
ps
cos (+)² + √6 cosht) sin (6) + sin Ht)
42
2
3.
x =
Transcribed Image Text:そこ ( cos/2) + sin ( + ) ) ps cos (+)² + √6 cosht) sin (6) + sin Ht) 42 2 3. x =
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